46 research outputs found

    Additional file 1: of Self-Catalyzed Growth of Vertical GaSb Nanowires on InAs Stems by Metal-Organic Chemical Vapor Deposition

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    A typical SEM image of the GaSb nanowires grown on InAs stems with relatively high TMGa and TMSb flow rates (S1), a typical SEM image of the InAs stems before the GaSb growth (S2), a typical SEM image of the GaSb nanowires grown on InAs stems at 545 °C (S3), a top-view SEM image of the GaSb nanowires directly grown on Si (111) substrates (S4), and EDS spectra of point analyses from different positions in a GaSb nanowire (S5). (DOCX 510 kb

    Stability Analysis of SIR Model with Distributed Delay on Complex Networks

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    <div><p>In this paper, by taking full consideration of distributed delay, demographics and contact heterogeneity of the individuals, we present a detailed analytical study of the Susceptible-Infected-Removed (SIR) epidemic model on complex population networks. The basic reproduction number of the model is dominated by the topology of the underlying network, the properties of individuals which include birth rate, death rate, removed rate and infected rate, and continuously distributed time delay. By constructing suitable Lyapunov functional and employing Kirchhoff’s matrix tree theorem, we investigate the globally asymptotical stability of the disease-free and endemic equilibrium points. Specifically, the system shows threshold behaviors: if , then the disease-free equilibrium is globally asymptotically stable, otherwise the endemic equilibrium is globally asymptotically stable. Furthermore, the obtained results show that SIR models with different types of delays have different converge time in the process of contagion: if , then the system with distributed time delay stabilizes fastest; while , the system with distributed time delay converges most slowly. The validness and effectiveness of these results are demonstrated through numerical simulations.</p></div

    System, the convergence time and the final density of infected individuals when .

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    <p>System, the convergence time and the final density of infected individuals when .</p

    Liquid–Liquid Equilibria of Benzene + <i>n</i>‑Heptane + <i>N</i>,<i>N</i>‑Dimethylformamide and Benzene + <i>n</i>‑Heptane + <i>N</i>,<i>N</i>‑Dimethylformamide + Ammonium Thiocyanate

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    The liquid–liquid equilibrium data for the systems including benzene + <i>n</i>-heptane + <i>N</i>,<i>N</i>-dimethylformamide (DMF) and benzene + <i>n</i>-heptane + DMF + ammonium thiocyanate were measured experimentally at 298.15 K or 303.15 K and atmospheric pressure. The selectivity coefficients of the complex solvent (DMF + NH<sub>4</sub>SCN) are generally higher than those of DMF, derived from the tie-line data. For the high selectivity that is from 15.03 to 69.90 at 298.15 K or from 15.04 to 61.02 at 303.15 K, the complex solvent, DMF + NH<sub>4</sub>SCN, could be used as an extracting agent to separate benzene from <i>n</i>-heptane

    Average satisfaction degree as a function of rebel ratio.

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    <p>Average satisfaction degree as a function of rebel ratio.</p

    Emergence of continents.

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    <p>r = 0, p = 0.5. The upper three are initial configurations, and the lower three are the corresponding stable ones.</p

    Effects of rewiring probability and network density on cooperation degree and average satisfaction degree.

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    <p>The horizontal axis is for the rewiring probability, solid blue lines for cooperation degree and dashed red ones for average satisfaction degree. Different densities of are represented by , , , , , and , respectively.</p

    Emergence of mazes.

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    <p>r = 1, size = 4141.</p
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